2250864800 has 36 divisors (see below), whose sum is σ = 5494925646. Its totient is φ = 900345600.

The previous prime is 2250864793. The next prime is 2250864817. The reversal of 2250864800 is 84680522.

It can be written as a sum of positive squares in 3 ways, for example, as 2103873424 + 146991376 = 45868^2 + 12124^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1405991 + ... + 1407590.

Almost surely, 2^2250864800 is an apocalyptic number.

2250864800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250864800 is an abundant number, since it is smaller than the sum of its proper divisors (3244060846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2250864800 is a wasteful number, since it uses less digits than its factorization.

2250864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813601 (or 2813588 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 2250864800 is about 47443.2798191693. The cubic root of 2250864800 is about 1310.5385583526.

The spelling of 2250864800 in words is "two billion, two hundred fifty million, eight hundred sixty-four thousand, eight hundred".